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Finding the Fourth Proportional to 171,825.28, 257,838.36 and 71,977

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Solution

The fourth proportional to 171,825.28, 257,838.36 and 71,977 is: 108,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,825.28 : 257,838.36 = 71,977 : x
  2. Step 2: Convert to fraction form
    171,825.28/257,838.36 = 71,977/x
  3. Step 3: Cross multiply
    171,825.28x = 257,838.36 × 71,977
  4. Step 4: Simplify right side
    171,825.28x = 18,558,431,637.72
  5. Step 5: Solve for x
    x = 18,558,431,637.72/171,825.28
  6. Step 6: Final answer
    x = 108,007.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.